| 三维两相渗流驱动问题迎风区域分裂显隐差分法 |
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| 引用本文： | 李长峰,袁益让.三维两相渗流驱动问题迎风区域分裂显隐差分法[J].计算数学,2007,29(2):113-136. |
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| 作者姓名： | 李长峰 袁益让 |
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| 作者单位： | 1. 山东大学经济学院,济南,250100
2. 山东大学数学与系统科学学院,济南,250100 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)
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国家自然科学基金
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高等学校博士学科点专项科研项目 |
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| 摘 要： | 对三维两相渗流驱动问题提出了两种迎风区域分裂显隐差分格式．压力方程采用了七点差分格式,为了能达到实际并行计算的要求,对饱和度方程采用了迎风区域分裂差分法,内边界处和各子区域分别对应显隐格式．得到了离散l2模收敛性分析,最后给出数值试验,支撑了理论分析结果．
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| 关 键 词： | 两相渗流 区域分裂 并行计算 迎风差分 误差估计 |
| 修稿时间： | 2005-10-27 |
DOMAIN DECOMPOSITION EXPLICIT/IMPLICIT DIFFERENCE SCHEMES WITH UPWIND METHOD FOR 3-DIMENSIONAL TWO-PHASE FlOW DISPLACEMENT PROBLEMS |
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| Li Changfeng,Yuan Yirang.DOMAIN DECOMPOSITION EXPLICIT/IMPLICIT DIFFERENCE SCHEMES WITH UPWIND METHOD FOR 3-DIMENSIONAL TWO-PHASE FlOW DISPLACEMENT PROBLEMS[J].Mathematica Numerica Sinica,2007,29(2):113-136. |
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| Authors: | Li Changfeng Yuan Yirang |
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| Institution: | 1.School of economics, Shandong University, Jinan 250100, China;2.School of Mathematics and System Science, Shandong University, Jinan 250100, China |
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| Abstract: | Two domain decomposition explicit/implict difference schemes with upwind method are presented for 3-dimensional, two-phase displacement. The pressure equation is discretized by a standard seven-point difference procedure. To compute in parallel, the concentration equation is treated by upwind domain decomposition difference schemes, which rely on implicit procedures in subdomains and explicit calculation on the inter-domain boundaries. And the convergence analysis in discrete l2-norm is discussed. Finally, numerical examples illustrating the value, accuracy and parallelism are shown. |
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| Keywords: | two-phase flow domain decomposition parallel computation upwind difference error estimates |
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